Question 1120575
A ship travels on a N 34o E course. 
The ship travels until it is due north of a port which is 245 nm due east of the port from which the ship originated.
How far did the ship travel? Round your answer to two decimal places.
:
Draw a right triangle representing:
 the origin,
 the point due north of the port,
 and the port (which is 245 mi from the origin)
:
Find the interior angle at point of origin: 90 - 34 = 56 degrees
The path of the ship is the hypotenuse (h), use the cosine of 56 degrees
cos(56) = {{{245/h}}}
h = {{{245/cos(56)}}}
use your calc
h = 438.13 nm